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Estimates for solutions of quasilinear problems with dead cores |
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| Authors: | Catherina?Bandle mailto:bandle@math.unibas.ch" title=" bandle@math.unibas.ch" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Stella?Vernier-Piro |
| Affiliation: | (1) Mathematisches Institut, Universität Basel, Rheinsprung 21, 4051 Basel, Switzerland;(2) Dipartimento di Matematica Università di Cagliari, Viale Merello 92, 09123 Cagliari, Italy |
| Abstract: | A Rayleigh-Faber-Krahn type inequality is used toderive bounds for boundary value problems appearing inreaction-diffusion problems where the reactant is consumed.Interesting quantities are the minimum of the solution and themeasure of the set where it vanishes. The proofs are ratherelementary and apply to problems possessing solutions in a weaksense. |
| Keywords: | 49K20 35J28 35J60 |
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